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program D3R1 !driver for routine TRAPZD real,parameter::nmax=15,pio2=1.5707963 external Func,Fint real::A=0.0,B=pio2 write(*,'(1x,a)') 'integral of Func with 2^(n-1) points' write(*,'(1x,a,f10.6)')'actual value of integral is',& Fint(B)-Fint(A) write(*,'(1x,t7,a,t16,a)')'n','Approx.integral' do i=1,nmax call TRAPZD(Func,A,B,s,i) write(*,'(1x,i6,f20.6)')i,s end do end program D3R1 Function Func(x) Func=(x**2)*(x**2-2.0)*sin(x) end function Func function Fint(x) !integral of Func Fint=4.0*x*((x**2)-7.0)*sin(x)-((x**4)-14.0*(x**2)+28.0)*cos(x) end function Fint subroutine TRAPZD(Func,A,B,s,n) integer::n,tnm integer,parameter::p=selected_real_kind(6,20) real(p)::del,sum,x if(n==1)then s=0.5*(b-a)*(Func(a)+Func(b)) else tnm=2**(n-1) del=(b-a)/tnm x=A sum=0.0 do j=2,tnm x=x+del sum=sum+Func(x) end do s=0.5*(Func(A)+Func(B)+2*sum)*del end if end subroutine TRAPZD ÔËËãµÄ½á¹ûÈçÏÂ: integral of Func with 2^(n-1) points actual value of integral is -0.479158 n Approx.integral 1 0.905772 2 -0.020945 3 -0.361461 4 -0.449584 5 -0.471756 6 -0.477307 7 -0.478697 8 -0.479042 9 -0.479126 10 -0.479146 11 -0.479151 12 -0.479152 13 -0.479153 14 -0.479411 15 -0.479676 Press any key to continue ÇëÎÊn=14,15 ʱÔõôԽ²»½Ó½üÕæÊµÖµ? |
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sunxiao(½ð±Ò+3,VIP+0):»¶Ó²ÎÓ룬¼Ó·Ö¹ÄÀø 3-30 22:39
sunxiao(½ð±Ò+3,VIP+0):»¶Ó²ÎÓ룬¼Ó·Ö¹ÄÀø 3-30 22:39
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°³²»»áFortran,¶ÔÄãµÄ³ÌÐòÖ»ÄÜ¿´Á˸ö´ó¸Å.Ñ»·²¿·ÖûÓÐÎÊÌâ,ÖÁÉÙд³ÉmatlabºóÖ´ÐÐÊÇÕýÈ·µÄ: clear; clc b=pi/2 a=0 nse=[]; sse=[]; for n=10:20 tnm=2^(n-1) del=(b-a)/tnm x=a s=0.0 for j=2:tnm x=x+del; s=s+Func(x); end s=0.5*(Func(a)+Func(b)+2*s)*del nse=[nse n]; sse=[sse s]; end [nse' sse'] --------------------------------------------- ½á¹ûÊÇÕâÑùµÄ: 10.00000000000000 -0.47915157829510 11.00000000000000 -0.47915700215368 12.00000000000000 -0.47915835811872 13.00000000000000 -0.47915869710992 14.00000000000000 -0.47915878185820 15.00000000000000 -0.47915880304466 16.00000000000000 -0.47915880834252 17.00000000000000 -0.47915880966840 18.00000000000000 -0.47915881000004 19.00000000000000 -0.47915881008306 Óе㻳ÒɵÄÊÇÄãµÄ±äÁ¿sÊÇÔÚÄÄÀï³õʼ»¯µÄ,Õâ¸öÖµÊÇÓ¦¸ÃÏȳõʼ»¯ÎªÁã°É. |

2Â¥2009-03-30 19:53:13
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3Â¥2009-03-30 22:44:55
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4Â¥2009-04-01 11:54:19
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5Â¥2009-04-01 12:30:17
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